The initial goal of this program is to determine when a Weinstein manifold can be deformed to have an arboreal skeleton, i.e. a skeleton which is a stratified Lagrangian with arboreal singularities. The main results of [1]} show this can be achieved for polarized Weinstein manifolds, and moreover, the resulting arboreal space determines the ambient Weinstein manifold. The current paper provides essential local results underlying these global developments, as will be discussed below.
